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Finding the Fourth Proportional to 574.14, 791.95 and 352.71

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Solution

The fourth proportional to 574.14, 791.95 and 352.71 is: 486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.14 : 791.95 = 352.71 : x
  2. Step 2: Convert to fraction form
    574.14/791.95 = 352.71/x
  3. Step 3: Cross multiply
    574.14x = 791.95 × 352.71
  4. Step 4: Simplify right side
    574.14x = 279,328.68
  5. Step 5: Solve for x
    x = 279,328.68/574.14
  6. Step 6: Final answer
    x = 486.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.